Fundamental Conditions for N-th Order Accurate Lattice Boltzmann Models

Physics – Computational Physics

Scientific paper

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Scientific paper

10.1016/j.physd.2007.11.010

In this paper, we theoretically prove a set of fundamental conditions
pertaining discrete velocity sets and corresponding weights. These conditions
provide sufficient conditions for a priori formulation of lattice Boltzmann
models that automatically admit correct hydrodynamic moments up to any given
N-th order.

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